LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 531/994, 4917/219

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 531/994, 4917/219 i.e 3/217686 easily. The following is the detailed procedure to determine the greatest common factor of fractions 531/994, 4917/219.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 531/994,4917/219?

Given fractions are 531/994,4917/219

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 531/994,4917/219, numerators are 531,4917

Denominators are 994,219

The GCF of 531,4917 is 3 .

LCM of 994,219 is 217686.

The greatest common factor of 531/994,4917/219 = [GCF of 531,4917]/[LCM of 994,219]= 3/217686

Therefore, the GCF of 531/994,4917/219 is 3/217686.

Greatest Common Factor of 531,4917

To find the highest common factor of 531,4917, we have to find the factors of both numbers and list the highest common factor.

The factors of 531 are 1, 3, 9, 59, 177, 531

The factors of 4917 are 1, 3, 11, 33, 149, 447, 1639, 4917

The HCF of 531,4917 is 3.

Lets's calculate GCF of 531,4917

Greatest Common Factor (GCF) of 531,4917 By Common Division

3 531, 4917
177, 1639

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 531,4917 By Matching Biggest Common Factor Method

Greatest Common Factor of 531,4917 By Matching Biggest Common Factor Method

Now, list down the factors of 531

:

1,3,9,59,177,531

Now, list down the factors of 4917

:

1,3,11,33,149,447,1639,4917

Greatest Common Factor

We found the factors 531,4917 . The biggest common factor number is the GCF number.
So the greatest common factor 531,4917 is 3.

Lets's calculate LCM of 994,219

Lowest Common Multiple of 994,219 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 217686

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/217686

Therefore, the GCF of Fractions 531/994,4917/219 is 3/217686

Least Common Multiple of 994,219 with GCF Formula

Least Common Multiple of 994,219 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 994,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(994,219) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(994,219) x common factors =1 x 1 = 1

LCM(994,219) = ( 994 × 219 ) / 1

LCM(994,219) = 217686 / 1

LCM(994,219) = 217686


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 531/994, 4917/219

1. What is the HCF of 531,4917?

The HCF of 531,4917 is 3

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 531/994, 4917/219?

Answer: GCF of Numerators as per given numbers 531/994, 4917/219 is

GCF of Numerators i.e. for 531,4917 is 3

LCM of denominators i.e. for 994,219 is 217686.

Thus, GCF of Fractions is 3/217686.Finally, GCF of Fractions for 531/994, 4917/219 is 3/217686.